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Trudy Moskovskogo Matematicheskogo Obshchestva, 2024, Volume 85, Issue 1, Pages 27–38 (Mi mmo691)  
Unknotting Lagrangian $\mathrm{S}^1\times\mathrm{S}^{n-1}$ in $\mathbb{R}^{2n}$

S. Nemirovskiab

a Fakultät für Mathematik, Ruhr-Universität Bochum, Germany
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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Abstract: Lagrangian embeddings $\mathrm{S}^1\times\mathrm{S}^{n-1}\hookrightarrow\mathbb{R}^{2n}$ are classified up to smooth isotopy for all $n\ge 3$. References: 22 entries.
Key words and phrases: Lagrangian submanifold, smooth embedding, Luttinger surgery.
Funding agency Grant number
Deutsche Forschungsgemeinschaft 281071066
This work was partially supported by the SFB TRR 191 Symplectic Structures in Geometry, Algebra and Dynamics, funded by the DFG (Projektnummer 281071066 — TRR 191).
Received: 21.08.2024
Document Type: Article
UDC: 515.164.6
MSC: 57R17, 57R40, 53D12
Language: English
Citation: S. Nemirovski, “Unknotting Lagrangian $\mathrm{S}^1\times\mathrm{S}^{n-1}$ in $\mathbb{R}^{2n}$”, Tr. Mosk. Mat. Obs., 85, no. 1, MCCME, M., 2024, 27–38
Citation in format AMSBIB
\Bibitem{Nem24}
\by S.~Nemirovski
\paper Unknotting Lagrangian $\mathrm{S}^1\times\mathrm{S}^{n-1}$ in $\mathbb{R}^{2n}$
\serial Tr. Mosk. Mat. Obs.
\yr 2024
\vol 85
\issue 1
\pages 27--38
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo691}
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